document.write( "Question 547728: graph the function - label vertex and axis of symmetry
\n" ); document.write( "y=-(x+3)^2 + 5\r
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Algebra.Com's Answer #356537 by mathie123(224)\"\" \"About 
You can put this solution on YOUR website!
So for any parabola, we have the following possible transformations:\r
\n" ); document.write( "\n" ); document.write( "\"y=a%28x-h%29%5E2%2Bk\"
\n" ); document.write( "where (h,k) is the vertex, and a is the dilation and reflection. \r
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\n" ); document.write( "\n" ); document.write( "So from this we can see that (-3,5) is the vertex, and we are reflecting it along the x axis (since a=-1).\r
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\n" ); document.write( "\n" ); document.write( "So we have y=x^2(the base function) to begin\r
\n" ); document.write( "\n" ); document.write( "\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "And now we reflect it along the x axis
\n" ); document.write( "\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-x%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "And we use the vertex point (or slide the whole thing to the left 3 units and up 5 units
\n" ); document.write( "\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-%28x%2B3%29%5E2%2B5%29\"\r
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\n" ); document.write( "\n" ); document.write( "We can also make a table of values and check if they match with our graph.
\n" ); document.write( "Hopefully this helps!
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